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Finding the Fourth Proportional to 57,113.71, 85,706.00 and 27,534.53

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Solution

The fourth proportional to 57,113.71, 85,706.00 and 27,534.53 is: 41,318.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,113.71 : 85,706.00 = 27,534.53 : x
  2. Step 2: Convert to fraction form
    57,113.71/85,706.00 = 27,534.53/x
  3. Step 3: Cross multiply
    57,113.71x = 85,706.00 × 27,534.53
  4. Step 4: Simplify right side
    57,113.71x = 2,359,874,608.03
  5. Step 5: Solve for x
    x = 2,359,874,608.03/57,113.71
  6. Step 6: Final answer
    x = 41,318.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.